Simplify ((2x+5)/(3x))÷((2x-1)/(2x+1))

$\frac{2 x + 5}{3 x} \div \frac{2 x - 1}{2 x + 1}$

To divide by a fraction, multiply by its reciprocal.

$\frac{2 x + 5}{3 x} \cdot \frac{2 x + 1}{2 x - 1}$